Angles of Nodal Lines (Two point light source)

AI Thread Summary
A two-point light source creates an interference pattern in a ripple tank at a frequency of 1.0Hz, with sources 2.5cm apart and a wavelength of 1.2cm. The angles for the nodal lines, calculated using the formula sin = ((n - 0.5)*wavelength)/d, yield results of 14 degrees and 46 degrees for the first two nodal lines. The third calculation results in an undefined value, indicating no further nodal lines can be determined. The discussion confirms that the calculated angles are correct and aligned with the problem's requirements. Overall, the analysis effectively addresses the question posed.
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A two-point source operates at a frequency of 1.0Hz to produce an interference pattern in a ripple tank. The sources are 2.5cm apart and the wavelength of the waves is 1.2 cm.

Calculate the angles at which the nodal lines in the pattern are located far from the sources. (assume the angles are measured from the central line of the pattern.


Given:
f = 1.0Hz
d = 2.5cm
wavelength = 1.2cm

Analysis:
sin = ((n - 0.5)*wavelength)/d

Solution:
sin1 = ((1 - 0.5)1.2cm)/2.5 = 14 degrees
sin2 = ((2 - 0.5)1.2cm)/2.5 = 46 degrees
sin3 = ((3 - 0.5)1.2cm)/2.5 = undefined

Paraphrase:
Therefore, far from the sources the nodal lines are located at angles of 14 and 46 degrees to the central line of the pattern.

I really wasn't sure what this question was looking for so I just did what seemed most likely. Can someone let me know if I am on the right track here or missing the point? Thanks
 
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